Research

Below are my papers:

  1. The biclique covering number of grids
    with Tony Huynh, Marco Macchia. (submitted)
  2. The chromatic index of strongly regular graphs
    with Sebastian M. Cioaba and Willem H. Haemers. (submitted)
  3. Short rainbow cycles in sparse graphs
    with Matt DeVos, Matthew Drescher, Daryl Funk, Sebastián González Hermosillo de la Maza, Tony Huynh, Bojan Mohar and Amanda Montejano. (submitted)
  4. Partially ordering the class of invertible trees (submitted)
  5. Using the existence of t-designs to prove Erdős-Ko-Rado
    with Chris Godsil. (to appear in Discrete Mathematics)
  6. State transfer in strongly regular graphs with an edge perturbation
    with Chris Godsil, Mark Kempton and Gabor Lippner. (submitted)
  7. Average mixing matrix of trees.
    with Chris Godsil and John Sinkovic. Electronic Journal of Linear Algebra, Volume 34 (2018).
  8. A new perspective on the average mixing matrix.
    with Gabriel Coutinho, Chris Godsil and Harmony Zhan. Electronic Journal of Combinatorics, Volume 25, Issue 4 (2018), Paper #P4.14.
  9. Digraphs with Hermitian spectral radius below 2 and their cospectrality with paths.
    with Bojan Mohar. SIAM Discrete Mathematics, Volume 340, Issue 11, November 2017, Pages 2616-2632.
  10. Pretty good state transfer between internal nodes of paths.
    with Gabriel Coutinho and Christopher. M. van Bommel. Quantum Information and Computation, Vol. 17, No. 9&10 (2017) 0825–0830.
  11. Cycle space of digraphs. (Submitted)
    with Chris Godsil.
  12. Spectral bound for separations in Eulerian digraphs. Electronic Journal of Linear Algebra, Volume 32, pp. 291-300.
  13. Quantum walks on generalized quadrangles.
    with Chris Godsil and Tor Myklebust.Electronic Journal of Combinatorics, Volume 24, Issue 4 (2017), Paper #P4.16.
  14. Hermitian adjacency matrix of digraphs and mixed graphs 
    with Bojan Mohar. Journal of Graph Theory (2016). doi/10.1002/jgt.22057.
  15. Perfect state transfer on distance-regular graphs and association schemes
    with Gabriel Coutinho, Chris Godsil and Frédéric Vanhove. Linear Algebra and its Applications 449 (2015) P108-130.
  16. Large regular bipartite graphs with median eigenvalue 1
    with Bojan Mohar. Linear Algebra and its Applications 449 (2014) P68-75.
  17. Quantum Walks on Regular Graphs and Eigenvalues
    EJCT 18 (2011) #P165, with Chris Godsil.
  18. New Constructions of Complete Non-cyclic Hadamard Matrices, Related Function Families and LCZ Sequences
    SETA 2010, with Guang Gong.

Here is my Ph.D. thesis.

During my Masters degree, I studied a graph invariant based on the transition matrix of a discrete time quantum walk. Here is my thesis.

I am interested in the second subconstituents of strongly regular graphs. This led me to look at triply regular graphs. Here are some notes on triply regular graphs.